Are you looking at the SR4 costs? SR4A updated Increased Reflexes it to 1.5/2.5/4.
The problem Adepts run into is that they suck pretty badly at being flexible. Adepts are good at being specialists, but bad at being generalists. Once you try to cover more than either just combat, or combat+1 other thing, adepts start running into severe issues (combat + one other thing is more doable because it's easy to pick up combat on the side).
I'll put that on the list of possible new archetypes. For the moment, let me see if I can give you an idea of where to go.
That said, I think the way to go would be Mind over Matter (Logic->Agility). That would allow a high Logic to cover Infiltration and enough basic combat skills to not suck terribly, and also allows for good Hardware. I would probably go with 1 points of magic loss for Tailored Pheremones 3 (.6) and Cerebral Boosters 2 (.4)
After gameplay starts, install another point of 'ware and then buy your magic back up to 4 with karma (for 20 karma). You eventually will want something like Tailored Pheremones 3, Cerebral Boosters 3, Cyber Lower Leg with Nanohive+Neocortical, and PuSHeD, plus some reflex recorders, then fill up with either another cyber partial limb, or with comedy ware.
That leaves you with 4 PP. Grab Mind over Matter, IR 1, Commanding Voice, Kinesics 1, and Improved Noncombat Ability: Something 1 (probably Hardware or a social skill). When you can buy Magic 5, you can get Kinesics 3, and then after that you can choose between getting more Improved Reflexes or getting Improved Noncombat Ability.
If Ways are allowed to you, Speaker's Way makes this better.
At that point, just get your stats and skills. You need high Charisma and Logic, but don't need Agility, so you should either be an Elf or a Human. I think from there it should be doable.